Can you please help me with 2,3,4 and 5. Will mark brainliest.
Algebra 2
Please help me solve this.
All of the following equations have the same solution except _____.
-10 = -3 m + 2
2 - 3 m = -10
-3 m + 2 = -10
3 m + 2 = -10
Answer:
All of the following equations have the same solution except 3m + 2 = -10.
Step-by-step explanation:
Mrs. King is buying a solar cover for her rectangular
swimming pool. The cover will float on the surface of the
pool and has the same dimensions as the pool. The pool is
twice as long as it is wide. Its width is 14 feet. What is the
area of the solar cover?
А
392 ft?
B
352 ft?
с
84 ft?
98 ft
Answer:
Option A
Step-by-step explanation:
If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)
14 ft x 28 ft = 392 square feet
Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.
The pool is twice as long as it is wide. Its width is 14 feet.
If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].
Then the [tex](14 (2)=28)[/tex].
So,
[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet
Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.
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Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?
Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)
Answer: -1
Step-by-step explanation:
To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]
Now, we know that the slope is -1.
-15=2t-11 does any one know it please
Add 11 to both sides:
-4=-2t
divide 2 by both sides
2=t
Hope it helps! Comment if you have any questions!
Answer:
t = -2
Step-by-step explanation:
Move all terms that don't contain t to the right side and solve
Give two real-world situations that could be represented by the value 30
Answer:
There are lot of real world situations that could be represented by the value of 30.
Step-by-step explanation:
1- I went to a office for interview they said to me they will give 30$ as a salary per day.
2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.
These are the best examples of real-world situations that could be represented by the value 30
Answer:
here this is so u can give brainliest to him
Step-by-step explanation:
In a survey, 80 students were asked to name their favorite subject. Thirty students said that History was their favorite. What percent of the students surveyed said that History was their favorite subject?
I misread the question so I am removing my answer.
Answer:
I think the answer is 20 percent
Step-by-step explanation:
if 80 is 100% than you have to make 30 a %
which number line shows the inequalaty n>-3
Answer:
the number line shows inequality
Solve for y .
K=5yz
help
Answer: y=K/5z
Step-by-step explanation:
To solve for y, you need to use algebraic properties to isolate y.
K=5yz [divide both sides by 5z]
K/5z=y
y=K/5z
What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
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How can you rewrite square root 2
Answer:
2/6
Step-by-step explanation:
I need help ASAP.
3+2-(6-(1+1)
Answer:
1
Step-by-step explanation:
3+2-(6-(1+1)
3+2-(6-2)
3+2-4
1
Answer:
1.
Step-by-step explanation:
i got confused me explaining it but I can verify the answer is 1.
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of kilometers and to a whole 100m. Please help.
A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 g6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
An object is moving at a speed of 9 centimeters every 5.5 minutes. Express this speed in miles per day. Round your answer to the nearest hundredth.
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the 9 cm is covered every 5.5 minutes, hence:
1 mile = 160934 cm;
9 cm = 9 * 1/160934 = 9/160934 mile
1 day = 1440 minutes
5.5 minute = 5.5 * 1/1440 = 5.5/1440 day
Hence:
Speed = distance/time
Speed = (9/160934 mile)/(5.5/1440 day)
Speed = 0.01 mile per day
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
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what is X 2x + 3 =15
2x + 3 =15
the answer is x=6 !!
Answer:
x = 6
Step-by-step explanation:
2x + 3 = 15
2x = 15 - 3
2x = 12
2x/2 = 12/2
x = 6
someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)
PLEASE SOMEONE HELP
Answer:
X=22 (Should make the rest of the problem easy to solve)
Step-by-step explanation:
22x2 + 1 = 45
22 + 5 = 27
45 + 27 = 72 (The perimiter)
[tex]\large\text{Hello there! :)}[/tex]
[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]
[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]
[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]
[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]
[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]
Does someone know how to do this?
p(x)= -12x -36; -3
Answer:
p(- 3) = 0
Step-by-step explanation:
Substitute x = - 3 into p(x) , that is
p(- 3) = - 12(- 3) - 36 = 36 - 36 = 0
solve for x: |12x + 12|=18
Answer:
x = 1/2 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
abs(12 x + 12) = 18
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
12 x + 12 = 18 or 12 x + 12 = -18
Hint: | Look at the first equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
12 x = 6 or 12 x + 12 = -18
Hint: | Solve for x.
Divide both sides by 12:
x = 1/2 or 12 x + 12 = -18
Hint: | Look at the second equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
x = 1/2 or 12 x = -30
Hint: | Solve for x.
Divide both sides by 12:
Answer: x = 1/2 or x = -5/2
yw + yq = r
What is y equal to?
Answer:[tex]y=\frac{x}{w+q}[/tex]
Step-by-step explanation:
simplify the following expressions ( combine like-terms )
Answer:
x + 2y
Step-by-step explanation:
Step 1: Write expression
-3x + 2y + 5x - x
Step 2: Combine like terms (x)
2x + 2y - x
x + 2y
I use 1.48 inches of ribbon to make 4 necklaces. How much ribbon did I use for each necklace?
Multiply.
(2.1×102)×(3.5×105)
Answer:
78,718.5
Step-by-step explanation:
2.1*102=214.2
3.5*105=367.5
214.2*367.5=78,718.5
whats the answer
f(x)= -2 (1/2) +1
How can unit rates and proportional reasoning be used to solve problems?
What is the value of the expression below when y
7 and z = 5?
y + 10z
Answer:
57
steps:
10 x 5= 50
7 + 50 =57
Which number is greater than square root of one hundred fifty five?
Answer:
try 3
Step-by-step explanation: